Home / 2,135.24-3,202.96-674.51

Finding the Fourth Proportional to 2,135.24, 3,202.96 and 674.51

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Solution

The fourth proportional to 2,135.24, 3,202.96 and 674.51 is: 1,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.24 : 3,202.96 = 674.51 : x
  2. Step 2: Convert to fraction form
    2,135.24/3,202.96 = 674.51/x
  3. Step 3: Cross multiply
    2,135.24x = 3,202.96 × 674.51
  4. Step 4: Simplify right side
    2,135.24x = 2,160,410.85
  5. Step 5: Solve for x
    x = 2,160,410.85/2,135.24
  6. Step 6: Final answer
    x = 1,011.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.